A Dirty Holographic Superconductor

Daniel Arean; Arya Farahi; Leopoldo A. Pando Zayas; Ignacio Salazar Landea; Antonello Scardicchio

doi:10.1103/physrevd.89.106003

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arXiv · 1308.1920

A Dirty Holographic Superconductor

Daniel Arean·Arya Farahi·Leopoldo A. Pando Zayas·Ignacio Salazar Landea·Antonello Scardicchio

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Abstract

We study the effects of disorder on a holographic superconductor by introducing a random chemical potential on the boundary. We consider various realizations of disorder and find that the critical temperature for superconductivity is enhanced. We also present evidence for a precise form of renormalization in this system. Namely, when the random chemical potential is characterized by a Fourier spectrum of the form $k^{-2α}$ we find that the spectra of the condensate and the charge density are again power-laws, whose exponents are accurately and universally governed by linear functions of $α$.

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hep-th cond-mat.dis-nn cond-mat.supr-con gr-qc

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Daniel Arean, Arya Farahi, Leopoldo A. Pando Zayas, Ignacio Salazar Landea, Antonello Scardicchio. 2014-06-20. A Dirty Holographic Superconductor. https://doi.org/10.1103/physrevd.89.106003

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